Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve graphically.
1)
3x + y =-6
2x + 4y =6
A)
(-3, 3)
B)
(-1, -3)
C)
(-3, -4)
D)
(3, 3)
2)
-2x + 4y =2
3x + 4y =27
A)
No solution
B)
(5, 3)
C)
(3, 5)
D)
(-2, 33)
1
3)
3
2x –1
3y = 5
5
2x +2
3y = 12
A)
(3, 4)
B)
(3, 1)
C)
(4, 3)
D)
(4, –3)
4)
3x + 2y = 5
–6x – 4y = 5
A)
(–1.5, –1)
B)
(1.5, –1)
C)
No solution
D)
(1, 1)
2
5)
4x + y =18
16x + 4y =72
A)
Infinite number of solutions
B)
(5, -2)
C)
No solution
D)
(0, 18)
6)
3x – 2y = 4
–6x + 4y = 7
A)
(2, 1)
B)
(1, 2)
C)
No solution
D)
Infinite number of solutions
3
7)
x = –y
y + x = 6
A)
No solution
B)
(1, 5)
C)
Infinite number of solutions
D)
(1, 1)
8)
x =5
y =3
A)
Infinitely many solutions
B)
No solution
C)
(5, 3)
D)
(3, 5)
C
Classify the system as consistent or inconsistent, and dependent or independent.
9)
x + 5y =12
3x – 4y =-2
A)
Consistent and independent
B)
Consistent and dependent
C)
Inconsistent and dependent
D)
Inconsistent and independent
A
10)
x + 4y =22
2x + 8y =44
A)
Inconsistent and dependent
B)
Consistent and independent
C)
Consistent and dependent
D)
Inconsistent and independent
C
4
A
11)
x + y =0
x – y =18
A)
Inconsistent and dependent
B)
Inconsistent and independent
C)
Consistent and independent
D)
Consistent and dependent
12)
x + y = –14
2x – 2y = –14
A)
Inconsistent and independent
B)
Consistent and dependent
C)
Inconsistent and dependent
D)
Consistent and independent
13)
4x + 2y =8
2x – y =4
A)
Inconsistent and dependent
B)
Consistent and independent
C)
Consistent and dependent
D)
Inconsistent and independent
14)
4x – 5y =-4
16x – 20y =-16
A)
Inconsistent and independent
B)
Consistent and dependent
C)
Consistent and independent
D)
Inconsistent and dependent
15)
5x – 25y =20
y =1
5x –4
5
A)
Consistent and independent
B)
Consistent and dependent
C)
Inconsistent and independent
D)
Inconsistent and dependent
16)
x – 6 = y
y + 9 = x
A)
Inconsistent and dependent
B)
Inconsistent and independent
C)
Consistent and dependent
D)
Consistent and independent
17)
3x = y + 3
6x – 2y = 3
A)
Inconsistent and dependent
B)
Consistent and dependent
C)
Inconsistent and independent
D)
Consistent and independent
18)
x – 3y = 6
3y + 1 = x
A)
Inconsistent and independent
B)
Consistent and dependent
C)
Inconsistent and dependent
D)
Consistent and independent
Solve using the substitution method.
19)
x + y =11
y =2x + 5
A)
(3, 8)
B)
(2, 9)
C)
(9, 2)
D)
(1, 11)
20)
y =3x + 4
2x + y =19
A)
(13, -7)
B)
(13, 3)
C)
(3, 13)
D)
(2, 10)
C
21)
x =4+-4y
x +4y =7
A)
Infinitely many solutions
B)
No solution
C)
(– 1, 8)
D)
(– 1, – 8)
B
Solve by the substitution method.
22)
x + 7y =47
8x + 6y =26
A)
(-3, 8)
B)
(-2, 7)
C)
(2, 8)
D)
No solution
B
23)
x – 4y =20
4x – 3y =15
A)
(1, –6)
B)
(5, 0)
C)
(0, –5)
D)
No solution
C
24)
x + 2y =-3
8x + 3y =-24
A)
(-2, -3)
B)
(3, -1)
C)
(-3, 0)
D)
No solution
C
25)
7x + 6y =55
-5x – 4y =-39
A)
(6, 2)
B)
(7, 1)
C)
(7, 2)
D)
No solution
B
26)
7x – 5y =20
-3x + 3y =-12
A)
(0, -4)
B)
(0, -3)
C)
(-1, -3)
D)
No solution
A
27)
-7x + 8y =42
2x + 6y =-12
A)
(-6, 1)
B)
No solution
C)
(-6, 0)
D)
(-7, 1)
C
6
B
28)
6x + 30 =6y
3x – 4y =-16
A)
(-4, 1)
B)
(-4, 2)
C)
(-5, 2)
D)
No solution
29)
x + y =-2
x + y =-7
A)
No solution
B)
(0, -9)
C)
(0, 0)
D)
(-2, -7)
Answer:
A
30)
x + y =6
5x + 5y =30
A)
(0, 0)
B)
(6, 5)
C)
Infinite number of solutions
D)
(3, 3)
Answer:
C
Solve the problem.
31)
The sum of two numbers is 39 and their difference is 17. Find the numbers.
A)
13 and 30
B)
26 and 13
C)
28 and 11
D)
23 and 16
Answer:
C
32)
Find two numbers whose sum is 35 and whose difference is 5.
A)
31 and 4
B)
15 and 20
C)
22 and 27
D)
13 and 22
Answer:
B
33)
Two angles have a sum of 96°. Their difference is 22°. Find the angles.
A)
39° and 61°
B)
75° and 21°
C)
57° and 39°
D)
59° and 37°
Answer:
D
34)
The sum of two angles is 211°. One angle is 29° less than twice the other. Find the angles.
A)
127° and 84°
B)
78° and 127°
C)
80° and 131°
D)
78° and 133°
Answer:
C
35)
The perimeter of a rectangle is 44 cm. One side is 10 cm longer than the other side. Find the lengths of the sides.
A)
6 cm, 10 cm
B)
12 cm, 22 cm
C)
9 cm, 19 cm
D)
6 cm, 16 cm
Answer:
D
36)
The perimeter of a rectangle is 54 m. If the width were doubled and the length were increased by 15 m, the
perimeter would be 98 m. What are the length and width of the rectangle?
A)
width 8 m, length 13 m
B)
width 7 m, length 20 m
C)
width 13 m, length 13 m
D)
width 20 m, length 7 m
Answer:
B
37)
The perimeter of a triangle is 52 cm. The triangle is isosceles now, but if its base were lengthened by 3 cm and
each leg were shortened by 2 cm, it would be equilateral. Find the base of the original triangle.
A)
17 cm
B)
13 cm
C)
19 cm
D)
14 cm
Answer:
D
Answer:
A
Solve using the elimination method.
38)
x + y = –13
x – y =-1
A)
(–7, -6)
B)
(–8, -5)
C)
No solution
D)
(7, -5)
39)
– x + 4y =+ 2
-3x – 4y =-26
A)
(–2, 6)
B)
No solution
C)
(7, 1)
D)
(6, 2)
40)
2 x – y =9
5x + y =33
A)
(3, 6)
B)
(6, 4)
C)
(6, 3)
D)
No solution
41)
x + 3y =13
2x + 3y =8
A)
No solution
B)
(5, 5)
C)
(-4, -5)
D)
(-5, 6)
Solve the system of equations by the elimination method.
42)
x – 2y =8
–7x – 3y = –39
A)
(6, -1)
B)
no solution
C)
(5, 0)
D)
(-6, 0)
43)
x + 5y =25
2x + 6y =30
A)
(-5, 0)
B)
no solution
C)
(0, 5)
D)
(1, 4)
44)
x + 8y =8
6x + 9y =48
A)
(8, 0)
B)
(-8, -1)
C)
no solution
D)
(9, 8)
45)
9x + 7y =49
-3x – 5y =-35
A)
(0, 8)
B)
no solution
C)
(0, 7)
D)
(-1, 8)
46)
-7x + 9y =28
-3x – 3y =12
A)
no solution
B)
(–4, 1)
C)
(–5, 1)
D)
(–4, 0)
8
47)
-3x – 2y =4
12x + 8y =-16
A)
(-12, -8)
B)
infinitely many solutions
C)
(-8, -12)
D)
no solution
48)
-4x + 4y =6
12x – 12y =18
A)
(-24, 24)
B)
infinitely many solutions
C)
no solution
D)
(24, -24)
C
49)
3
2x –1
3y = –18
3
4x +2
9y = –9
A)
(–12, 0)
B)
(12, 0)
C)
(0, –12)
D)
(0, 12)
A
50)
3
2x –1
3y = –21
3
4x +2
9y = –7
A)
(–12, 9)
B)
(12, 9)
C)
(9, –12)
D)
(–12, –9)
A
51)
0.1x + 0.7y =1.7
x – 0.3y =-4.9
A)
(-4, 3)
B)
(3, -4)
C)
(-0.4, 0.3)
D)
no solution
A
52)
0.8x + 0.3y =10.7
-0.3x – 0.1y =-3.9
A)
(100, 90)
B)
(1, 0.9)
C)
(10, 9)
D)
(9, 10)
C
53)
2.5x + 0.2y =10.6
0.5x – 0.4y =0.8
A)
(4.5, 3)
B)
(6.5, 3.2)
C)
(4, 3)
D)
(1.5, 3.2)
C
Solve the problem using the elimination method.
54)
Two angles are supplementary, and one is 40°more than three times the other. Find the smaller angle.
A)
35°
B)
145°
C)
105°
D)
75°
A
55)
In a right triangle, one acute angle is 54°more than twice the other. Find each acute angle.
A)
28° and 62°
B)
37° and 53°
C)
21° and 69°
D)
12° and 78°
D
B
56)
Two angles are supplementary, and one is 5° more than six times the other. Find the larger angle.
A)
155°
B)
25°
C)
70°
D)
110°
57)
Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $81 for 3 days and
300 miles, while Mary was charged $144 for 5 days and 600 miles. What does Best Rental charge per day and
per mile?
A)
$9 per day and 18
per mile
B)
$19 per day and 10
per mile
C)
$18 per day and 9
per mile
D)
$17 per day and 10
per mile
C
58)
There were 31,000 people at a ball game in Los Angeles. The day‘s receipts were $180,000. How many people
paid $11 for reserved seats and how many paid $4 for general admission?
A)
23,000 paid $11 and 8000 paid $4
B)
17,000 paid $11 and 14,000 paid $4
C)
8000 paid $11 and 23,000 paid $4
D)
14,000 paid $11 and 17,000 paid $4
C
59)
There were 380 people at a play. The admission price was $2 for adults and $1 for children. The admission
receipts were $600. How many adults and how many children attended?
A)
150 adults and 230 children
B)
80 adults and 300 children
C)
160 adults and 220 children
D)
220 adults and 160 children
D
60)
A salesman sold $300 more than the rest of the sales staff. If the sales total for the day was $1050, how much did
the rest of the sales staff sell?
A)
$375
B)
$675
C)
$750
D)
$525
A
61)
A vendor sells hot dogs and bags of potato chips. A customer buys 2 hot dogs and 2 bags of potato chips for
$6.50. Another customer buys 5 hot dogs and 3 bags of potato chips for $14.25. Find the cost of each item.
A)
B)
C)
D)
A
62)
In a basketball game, Will scored 35 points, consisting only of three–point shots and two–point shots. He made
a total of 15 shots. How many shots of each type did he make?
A)
two–point shots: 10; three–point shots: 5
B)
two–point shots: 11; three–point shots: 4
C)
two–point shots: 9; three–point shots: 6
D)
two–point shots: 5; three–point shots: 10
A
63)
The sum of two numbers is 33. The larger number minus the smaller number is 9. What are the numbers?
A)
21 and 12
B)
25 and 8
C)
19 and 14
D)
14 and 23
A
64)
The sum of two numbers is 96. The second number is three times as large as the first number. What are the
numbers?
A)
22 and 74
B)
24 and 72
C)
21 and 75
D)
22 and 66
B
A
65)
The sum of two numbers is 8. Three times the larger number plus four times the smaller number is 18. Find the
numbers.
A)
6 and 2
B)
6 and -14
C)
14 and -6
D)
22 and -14
Solve the problem.
66)
Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 19 pounds of feed worth $0.76 per
pound by mixing one kind worth $0.41 per pound with another worth $0.96 per pound. How many pounds of
the cheaper kind should they use in the mix?
A)
17 pounds
B)
12 pounds
C)
7 pounds
D)
9 pounds
67)
Ellen wishes to mix candy worth $1.57 per pound with candy worth $3.69 per pound to form 26 pounds of a
mixture worth $3.04 per pound. How many pounds of the more expensive candy should she use?
A)
8 pounds
B)
18 pounds
C)
23 pounds
D)
10 pounds
68)
A contractor mixes concrete from bags of pre–mix for small jobs. How many bags with 3% cement should he
mix with 8 bags of 11% cement to produce a mix containing 7% cement?
A)
21 bags
B)
16 bags
C)
8 bags
D)
10 bags
69)
Anne and Nancy use a metal alloy that is 17% copper to make jewelry. How many ounces of an alloy that is 11%
copper must be mixed with an alloy that is 22% copper to form 55 ounces of the desired alloy?
A)
35 ounces
B)
27 ounces
C)
30 ounces
D)
25 ounces
70)
How many liters of a 10% alcohol solution must be mixed with 90 liters of a 70% solution to get a 60% solution?
A)
108 L
B)
1.8 L
C)
18 L
D)
10.8 L
71)
In a chemistry class, 9 liters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6%
solution. How many liters of the 10% solution are needed?
A)
5.5 L
B)
4.5 L
C)
3.5 L
D)
9.0 L
72)
A merchant has coffee worth $20 a pound that she wishes to mix with 30 pounds of coffee worth $90 a pound to
get a mixture that can be sold for $50 a pound. How many pounds of the $20 coffee should be used?
A)
40 lb
B)
70 lb
C)
35 lb
D)
20 lb
73)
Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 30 coins with a total face value of $4.90,
how many of the coins are nickels?
A)
22 nickels
B)
13 nickels
C)
17 nickels
D)
15 nickels
74)
Andy has 17 coins made up of quarters and half dollars, and their total value is $4.75. How many quarters does
he have?
A)
4 quarters
B)
2 quarters
C)
15 quarters
D)
20 quarters
75)
A sum of money amounting to $4.15 consists of dimes and quarters. If there are 28 coins in all, how many are
quarters?
A)
21 quarters
B)
14 quarters
C)
9 quarters
D)
19 quarters
76)
A woman made a deposit of $341. If her deposit consisted of 101 bills, some of them one–dollar bills and the rest
being five–dollar bills, how many one–dollar bills did she deposit?
A)
41 one–dollars
B)
36 one–dollars
C)
60 one–dollars
D)
31 one–dollars
77)
Ron and Kathy are ticket–sellers at their class play, Ron handling student tickets that sell for $2.00 each and
Kathy selling adult tickets for $5.50 each. If their total income for 26 tickets was $118.50, how many did Ron sell?
A)
9 tickets
B)
24 tickets
C)
19 tickets
D)
7 tickets
78)
There were 520 people at a play. The admission price was $3 for adults and $1 for children. The admission
receipts were $1180. How many adults and how many children attended?
A)
330 adults and 190 children
B)
190 adults and 330 children
C)
295 adults and 225 children
D)
95 adults and 425 children
79)
Mardi received an inheritance of $70,000. She invested part at 10% and deposited the remainder in tax–free
bonds at 8%. Her total annual income from the investments was $6200. Find the amount invested at 10%.
A)
$15,000
B)
$30,000
C)
$63,800
D)
$29,000
80)
Walt made an extra $7000 last year from a part–time job. He invested part of the money at 6% and the rest at
8%. He made a total of $480 in interest. How much was invested at 8%?
A)
$5000
B)
$3500
C)
$4000
D)
$3000
Solve.
81)
A cruise boat travels 72 miles downstream in 4 hours and returns to its starting point upstream in 6 hours. Find
the speed of the stream.
A)
33 mph
B)
3 mph
C)
15 mph
D)
18 mph
82)
The speed of a stream is 5 mph. If a boat travels 68 miles downstream in the same time that it takes to travel 34
miles upstream, what is the speed of the boat in still water?
A)
10 mph
B)
18 mph
C)
17 mph
D)
15 mph
83)
A plane flies 420 miles with the wind and 300 miles against the wind in the same length of time. If the speed of
the wind is 29 mph, what is the speed of the plane in still air?
A)
164 mph
B)
179 mph
C)
199 mph
D)
174 mph
84)
An airplane travels 600 miles against the wind in 5 hours, and makes the return trip with the same wind in 1
hours. Find the rate of the wind.
A)
240 mph
B)
600 mph
C)
360 mph
D)
120 mph
85)
John and Tony start from GraysLake at the same time and head for a town 10 miles away. John walks twice as
fast as Tony and arrives 3 hours before Tony. Find how fast each walks.
A)
Tony’s speed = 3 m/h and John’s = 6 m/h.
B)
Tony’s speed =5
3 m/h and John’s =10
3 m/h.
C)
Tony’s speed =3
5 m/h and John’s =6
5 m/h.
D)
Cannot be determined with information given
86)
From a point on a river, two boats are driven in opposite directions, one at 9 miles per hour and the other at 13
miles per hour. In how many hours will they be 44 miles apart?
A)
1 hour
B)
2 hours
C)
4 hours
D)
3 hours
87)
A cabin cruiser travels 20 miles in the same time that a power boat travels 40 miles. The cruiser travels 5 mph
slower than the power boat. Find the speed of each boat.
A)
B)
C)
D)
88)
An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels
twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train.
A)
B)
C)
D)
89)
Candy and Delvis are riding bicycles in the same direction. Candy is traveling at the speed of 5 miles per hour,
and Delvis is traveling at the speed of 3 miles per hour. In 4 hours what is the distance between them?
A)
8 miles
B)
9 miles
C)
5 miles
D)
17 miles
90)
Jill is 14 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 2.5
kilometers per hour. They meet in 4 hours. How fast is Joe walking?
A)
2.5 kilometers per hour
B)
1 kilometers per hour
C)
2 kilometers per hour
D)
3 kilometers per hour
91)
x + y + z =-6
x – y + 4z = 1
4x + y + z =-21
A)
No solution
B)
(1, -2, -5)
C)
(-5, -2, 1)
D)
(1, -5, -2)
13
92)
x – y + 5z =-10
4x + z =-1
x + 2y + z = 9
A)
(-1, 0, 5)
B)
(0, 5, -1)
C)
(-1, 5, 0)
D)
No solution
93)
x – y + z = 4
x + y + z =-6
x + y – z =-12
A)
No solution
B)
(-4, 3, -5)
C)
(-4, -5, 3)
D)
(3, -4, -5)
94)
x + 5y + 2z =-27
4y + 3z = –31
z = –5
A)
(-5, -4, 3)
B)
(3, -4, -5)
C)
(3, -5, -4)
D)
No solution
95)
3x + 5y + z =-22
3x – 2y – z = -2
4x + y + 2z = -4
A)
No solution
B)
(-2, -4, 4)
C)
(4, -4, -2)
D)
(-2, 4, -4)
96)
x – y + 2z = 4
5x + z =0
x + 2y + z = –8
A)
(0, 0, –4)
B)
(0, –4, 4)
C)
No solution
D)
(0, –4, 0)
97)
x + y + z = 7
x – y + 2z = 7
5x + y + z = 11
A)
(4, 1, 2)
B)
(1, 4, 2)
C)
(1, 2, 4)
D)
(4, 2, 1)
98)
x – y + z = 8
x + y + z = 6
x + y – z = –12
A)
(–2, –1, 9)
B)
(–2, –1, –9)
C)
(2, –1, –9)
D)
(2, –1, 9)
99)
5x + 2y + z = –11
2x – 3y – z = 17
7x + y + 2z = –4
A)
(3, 0, –4)
B)
(0, –6, 1)
C)
(–3, 0, 4)
D)
(0, 6, –1)
14
100)
7x + 7y + z = 1
x + 8y + 8z = 8
9x + y + 9z = 9
A)
(0, 0, 1)
B)
(1, –1, 1)
C)
(–1, 1, 1)
D)
(0, 1, 0)
101)
2x + y = 0
x – 3y + z = 0
3x + y – z = 0
A)
(0, 0, 0)
B)
(0, 1, 0)
C)
(1, 0, 0)
D)
no solution
102)
x + y + z = 6
x – z = –2
y + 3z = 11
A)
no solution
B)
(–1, 2, –3)
C)
(1, 2, 3)
D)
(0, 1, 2)
103)
x – z = –7
3x – y = –1
x + y + z = 18
A)
(2, 3, 9)
B)
(2, 7, 9)
C)
(–1, 7, 9)
D)
no solution
104)
x + y =23
12
5y +5z =– 35
4
5x + z =1
3
A)
– 5
4, 2
3, -3
B)
-3, 5
4, – 2
3
C)
2
3, 5
4, -3
D)
– 2
3, 5
4, 3
105)
The sum of three numbers is 11. The first, minus the second, plus 2 times the third, is 7. The third, plus 2 times
the first, plus the second, is 14. What are the numbers?
A)
-3, -4, -4
B)
No solution
C)
3, 3, 4
D)
3, 4, 4
106)
A $170,000 trust is to be invested in bonds paying 7%, CDs paying 6%, and mortgages paying 9%. The sum of
the bond and CD investment must equal the mortgage investment. To earn an $13,200 annual income from the
investments, how much should the bank invest in bonds?
A)
$43,000
B)
$40,000
C)
$85,000
D)
$45,000
107)
The sum of a student’s three scores is 227. If the first is 19 points more than the second, and the sum of the first
two is 29 more than twice the third, what was the first score?
A)
47
B)
66
C)
71
D)
90
108)
A grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $20.80; to another, 2 of wheat,
3 of corn, and 5 of rye, for $20.80; and to a third, 3 of wheat, 5 of corn, and 2 of rye, for $20.80. What was the
price per bushel for corn?
A)
$2.08
B)
$2.00
C)
$2.40
D)
$1.50
109)
Michael’s bank contains only nickels, dimes, and quarters. There are 68 coins in all, valued at $5.70. The number
of nickels is 8 short of being three times the sum of the number of dimes and quarters together. How many
dimes are in the bank?
A)
10
B)
9
C)
49
D)
15
110)
In triangle ABC, the measure of angle B is 5° more than three times the measure of angle A. The measure of
angle C is 15° more than the measure of angle A. Which one of the following is true?
A)
Angle A is 35°
B)
Angle B is 102°
C)
Angle C is 47°
D)
None of these
111)
Some people must eat a low–sodium diet with no more than 2000 mg of sodium per day. By eating 1 cracker, 1
pretzel, and 1 cookie, a person would ingest 149 mg of sodium. If a person ate 8 pretzels and 8 cookies, he or she
would ingest 936 mg of sodium. By eating 6 crackers and 7 pretzels, the person would take in 535 mg of sodium.
Find the amount of sodium in each. Which of the following is true?
A)
A cracker has 30 mg of sodium.
B)
A cookie has 71 mg of sodium.
C)
A pretzel has 49 mg of sodium.
D)
None of these
112)
The sum of the ages of Art, Ben, and Cal is 59. Art is 1 year older than Cal and Cal is 1 year younger than Ben.
Which of these people were teenagers 7 years ago?
A)
Art, Ben, and Cal
B)
Ben
C)
Art and Ben
D)
Art
113)
The largest angle of a triangle is 6 times the smallest angle and it is 3 times the other angle. Find the measure of
the smallest angle.
A)
10°
B)
40°
C)
30°
D)
20°
114)
Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total
income from all 3 investments is $1600. The income from the 5% and 6% investments is the same as the income
from the 8% investment. Find the amount invested at each rate.
A)
$10,000 at 5%, $10,000 at 6%, $5000 at 8%
B)
$10,000 at 5%, $5000 at 6%, $10,000 at 8%
C)
$8000 at 5%, $10,000 at 6%, $7000 at 8%
D)
$5000 at 5%, $10,000 at 6%, $10,000 at 8%
115)
Mike, Joe, and Bill are painting a fence. The painting can be finished if Mike and Joe work together for 4 hours
and Bill works alone for 2 hours or if Mike and Joe work together for 2 hours and Bill works alone for 5 hours,
or if Mike works alone for 6 hours, Joe works alone for 2 hours, and Bill works alone for 1 hour. How much time
does it take for each man working alone to complete the painting?
A)
Mike 8 hr, Joe 8 hr, Bill 16 hr
B)
Mike 8 hr, Joe 16 hr, Bill 8 hr
C)
Mike 12 hr, Joe 10 hr, Bill 10 hr
D)
Mike 16 hr, Joe 8 hr, Bill 8 hr
116)
Jane wants to buy a photocopier. The salesperson has the following information on 3 models. If all 3 are used, a
specific job can be done in 50 minutes. If copier A operates for 20 minutes and copier B for 50 minutes, one–half
the job is finished. If copier B operates for 30 minutes and copier C for 80 minutes, three–fifths of the job is done.
Which is the fastest copier, and how long does it take for this copier to finish the whole job?
A)
C is fastest; 100 minutes
B)
C is fastest; 120 minutes
C)
B is fastest; 100 minutes
D)
A is fastest; 120 minutes
117)
A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2
white, and 1 red. C requires 2 black, 1 white, and 2 red. They used 100 black, 110 white and 90 red wires. How
many of each cable were made?
A)
10 cable A
20 cable B
30 cable C
B)
10 cable A
30 cable B
20 cable C
C)
10 cable A
103 cable B
20 cable C
D)
10 cable A
30 cable B
93 cable C
118)
A basketball fieldhouse seats 15,000. Courtside seats sell for $8, endzone for $7, and balcony for $4. Total for a
sell–out is $78,000. If half the courtside and balcony and all endzone seats are sold, the total is $46,000. How
many of each type are there?
A)
3200 courtside
1800 endzone
10,000 balcony
B)
3000 courtside
2000 endzone
10,000 balcony
C)
4000 courtside
3000 endzone
8000 balcony